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arXiv 2206.09147math.QA
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$\mathcal{R}(p,q)$ -多元离散概率分布

$\mathcal{R}(p,q)$-multivariate discrete probability distributions

Fridolin Melong

摘要:

从广义量子代数出发,构造了多元概率分布(Pólya、逆Pólya、超几何和负超几何).此外,我们推导出二元概率分布,并确定其性质($\mathcal{R}(p,q)$ -阶乘矩和协方差)。此外,我们从文献中已知的量子代数中推导出概率分布的特殊情况。

英文摘要:

We construct the multivariate probability distributions (Pólya, inverse Pólya, hypergeometric and negative hypergeometric) from the generalized quantum algebra. Moreover, we derive the bivariate probability distributions and determine their properties($\mathcal{R}(p,q)$-factorial moments and covariance). Besides, we deduce particular cases of probability distributions from the quantum algebras known in the literature.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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